Question 1196698

given:

{{{y=4x-7}}}

P({{{0}}}, {{{0}}})

find: an equation of the line that passes through the given point and is parallel to the given line

recall that parallel lines have {{{same}}} {{{slope}}}

since a slope of given line is {{{4}}}, an equation of parallel line so far is

{{{y=4x+b}}}......use given point to find {{{b}}}

{{{0=4*0+b}}}

{{{b=0}}}

equation of parallel line is {{{y=4x}}}


{{{ graph( 600, 600, -10, 10, -10, 10, 4x-7, 4x) }}}